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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 818 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.A jug has 40 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹33 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  5. 5.A grocer mixes 4 kg of tea at ₹79 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  9. 9.Rice at ₹59 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  10. 10.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  12. 12.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  13. 13.A grocer mixes 6 kg of tea at ₹120 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.Rice at ₹48 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  16. 16.A grocer mixes 7 kg of tea at ₹119 per kg with 7 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  18. 18.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  19. 19.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  22. 22.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹110 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 7 kg of tea at ₹55 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 5 kg of tea at ₹91 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A grocer mixes 6 kg of tea at ₹52 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 5 kg of tea at ₹41 per kg with 10 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 10 kg of tea at ₹101 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  34. 34.Rice at ₹51 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  35. 35.A grocer mixes 12 kg of tea at ₹38 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  37. 37.Rice at ₹69 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  39. 39.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  40. 40.Rice at ₹60 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 52
  2. 5
  3. 5
  4. 12
  5. 69
  6. 8
  7. 7
  8. 10
  9. 5
  10. 2
  11. 2
  12. 5
  13. 112
  14. 20
  15. 30
  16. 92
  17. 4
  18. 2
  19. 55
  20. 6
  21. 8
  22. 1
  23. 75
  24. 12
  25. 80
  26. 73
  27. 83
  28. 2
  29. 48
  30. 79
  31. 74
  32. 25
  33. 7
  34. 4
  35. 32
  36. 30
  37. 1
  38. 30
  39. 18
  40. 1

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